These are the form versions of the expressions for pipi scattering as given in LU TP 04-02, please cite that reference if using these. There are overall factors which need to be taken into account when putting them together, see the paper for more information. MM4U1 = + b0int(mp2,mp2,tt,xmu2) * ( - 2/9*mp2 + 1/18*tt ) + b0int(mk2,mk2,tt,xmu2) * ( - 1/9*mk2 + 1/36*tt ); MM4U2 = + b0int(mp2,mp2,tt,xmu2) * ( - 2*mp2*tt + 2*mp2^2 + 1/2*tt^2 ); MM4U0 = + b0int(mp2,mp2,ss,xmu2) * ( - 2*mp2*ss + 1/2*mp2^2 + 2*ss^2 ) + b0int(mk2,mk2,ss,xmu2) * ( 3/8*ss^2 ) + b0int(me2,me2,ss,xmu2) * ( 1/6*mp2^2 ); MM4pol = + pi16 * ( 2/3*mp2*mk2 - 1/3*mp2*ss + 2/3*mp2^2 - 1/2*mk2*ss - 1/ 8*ss^2 + 1/24*tmu^2 ) + abmp2 * ( - 4/3*mp2 + ss ) + abmk2 * ( - 2/3*mp2 + 1/2*ss ) - 32*mp2*L1r*ss - 16*mp2*L3r*ss + 16*mp2*L4r*ss + 8*mp2*L5r*ss + 32*mp2^2*L1r + 16*mp2^2*L3r - 32*mp2^2*L4r - 16*mp2^2*L5r + 32*mp2^2*L6r + 16*mp2^2*L8r + 8*L1r*ss^2 + 2*L2r*ss^2 + 2* L2r*tmu^2 + 4*L3r*ss^2; MMCCpol = + ss*tmu^2 * ( + 6*CC3 + 2*CC4 ) + ss * ( - 64*mp2*mk2*CC6 + 64*mp2*mk2*CC11 - 256*mp2*mk2*CC13 + 32*mp2*mk2*CC15 - 96*mp2^2*CC1 - 192*mp2^2*CC2 + 96*mp2^2*CC3 + 32*mp2^2*CC4 - 32*mp2^2*CC5 - 32*mp2^2*CC6 - 64*mp2^2*CC7 - 32*mp2^2*CC8 + 32*mp2^2*CC10 + 32*mp2^2*CC11 - 64*mp2^2*CC12 + 32*mp2^2*CC14 + 48*mp2^2*CC15 + 64*mp2^2*CC16 + 32*mp2^2*CC17 - 32*mp2^2*CC25 + 32*mp2^2*CC26 + 64*mp2^2*CC28 - 64*mp2^2*CC29 - 32*mp2^2*CC30 ) + ss^2 * ( + 48*mp2*CC1 + 96*mp2*CC2 - 48*mp2*CC3 - 40*mp2*CC4 + 8*mp2*CC5 + 8*mp2*CC6 + 16*mp2*CC7 + 8*mp2*CC8 - 4*mp2*CC10 - 4*mp2*CC11 + 8*mp2*CC12 - 8*mp2*CC13 - 8*mp2*CC22 - 8*mp2*CC23 + 20*mp2*CC25 + 16*mk2*CC6 - 8*mk2*CC11 + 48*mk2*CC13 ) + ss^3 * ( - 8*CC1 - 16*CC2 + 10*CC3 + 14*CC4 ) + tmu^2 * ( - 8*mp2*CC4 + 4*mp2*CC10 + 4*mp2*CC11 - 8*mp2*CC12 - 8*mp2*CC13 + 8*mp2*CC22 + 8*mp2*CC23 - 4*mp2*CC25 + 8*mk2*CC11 - 16*mk2*CC13 ) + 64*mp2^2*mk2*CC6 - 64*mp2^2*mk2*CC11 + 192*mp2^2*mk2*CC13 - 64*mp2^2*mk2*CC15 + 64*mp2^2*mk2*CC20 + 384*mp2^2*mk2*CC21 + 64*mp2^2*mk2*CC32 + 64*mp2^3*CC1 + 128*mp2^3*CC2 - 64*mp2^3*CC3 + 32*mp2^3*CC5 + 32*mp2^3*CC6 + 64*mp2^3*CC7 + 32*mp2^3*CC8 - 32*mp2^3*CC10 - 32*mp2^3*CC11 + 32*mp2^3*CC12 - 32*mp2^3*CC13 - 64*mp2^3*CC14 - 96*mp2^3*CC15 - 128*mp2^3*CC16 - 64*mp2^3*CC17 + 96*mp2^3*CC19 + 160*mp2^3*CC20 + 192*mp2^3*CC21 - 64*mp2^3*CC26 - 128*mp2^3*CC28 + 64*mp2^3*CC29 + 96*mp2^3*CC31 + 160*mp2^3*CC32 ; MMLLpol = + pi16 * ( + 256/27*mp2*mk2*L2r*ss + 1048/81*mp2*mk2*L3r*ss - 8*mp2*mk2*L5r*ss - 92/9*mp2*L1r*ss^2 + 28/9*mp2*L1r*tmu^2 - 386/27*mp2*L2r*ss^2 - 2/9*mp2*L2r*tmu^2 - 320/81*mp2*L3r*ss^2 + 4/3*mp2*L3r*tmu^2 - 8/3*mp2*L4r*ss^2 + 8/9*mp2*L4r*tmu^2 - 2*mp2*L5r*ss^2 + 2/3*mp2*L5r*tmu^2 + 128/27*mp2^2*mk2*L2r - 736/81*mp2^2*mk2*L3r + 32/3*mp2^2*mk2*L5r + 176/3*mp2^2*L1r*ss + 808/27*mp2^2*L2r*ss + 2008/81*mp2^2*L3r*ss - 160/9*mp2^2*L4r*ss - 16/3*mp2^2*L5r*ss - 448/9*mp2^3*L1r - 224/27*mp2^3*L2r - 1760/81*mp2^3*L3r + 256/9*mp2^3*L4r + 32/3*mp2^3*L5r - 8/3*mk2*L2r*ss^2 - 8/3*mk2*L3r*ss^2 + 2/3*mk2*L3r*tmu^2 + 1/9*L1r*ss*tmu^2 + 1/3*L1r*ss^3 + 5/18*L2r*ss*tmu^2 + 13/6*L2r*ss^3 + 1/9*L3r*ss^3 ) + abme2 * ( - 16/3*mp2*L1r*ss - 16/9*mp2*L2r*ss - 40/27*mp2*L3r*ss + 32/3*mp2^2*L1r + 16/9*mp2^2*L2r + 64/27*mp2^2*L3r - 16/3*mp2^2*L4r - 8/9*mp2^2*L5r + 32/3*mp2^2*L7r + 16/3*mp2^2*L8r ) + abmp2 * ( - 32/3*mp2*L1r*ss + 184/3*mp2*L2r*ss - 16/3*mp2*L3r*ss + 64*mp2*L4r*ss + 32*mp2*L5r*ss + 64*mp2^2*L1r - 32*mp2^2*L2r + 32*mp2^2*L3r - 464/3*mp2^2*L4r - 232/3*mp2^2*L5r + 160*mp2^2*L6r + 80*mp2^2*L8r - 12*L1r*ss^2 + 4*L1r*tmu^2 - 50/3*L2r*ss^2 + 38/3*L2r*tmu^2 - 6*L3r*ss^2 + 2*L3r*tmu^2 ) + abmk2 * ( - 32*mp2*L1r*ss + 16/3*mp2*L2r*ss - 52/3*mp2*L3r*ss + 16*mp2*L4r*ss + 16*mp2*L5r*ss + 64*mp2^2*L1r + 80/3*mp2^2*L3r - 64*mp2^2*L4r - 104/3*mp2^2*L5r + 64*mp2^2*L6r + 32*mp2^2*L8r - 4/3*L2r*ss^2 + 4*L2r*tmu^2 + 5/3*L3r*ss^2 + 1/3*L3r*tmu^2 ) + 128*mp2*mk2*L4r*L5r*ss - 512*mp2*mk2*L4r*L6r*ss + 256*mp2*mk2*L4r^2*ss - 256*mp2*mk2*L5r*L6r*ss - 256*mp2^2*mk2*L4r*L5r + 2048*mp2^2*mk2*L4r*L6r + 512*mp2^2*mk2*L4r*L8r - 512*mp2^2*mk2*L4r^2 + 512*mp2^2*mk2*L5r*L6r - 1024*mp2^2*mk2*L6r*L8r - 2048*mp2^2*mk2*L6r^2 + 192*mp2^2*L4r*L5r*ss - 256*mp2^2*L4r*L6r*ss - 256*mp2^2*L4r*L8r*ss + 128*mp2^2*L4r^2*ss - 128*mp2^2*L5r*L6r*ss - 128*mp2^2*L5r*L8r*ss + 64*mp2^2*L5r^2*ss - 384*mp2^3*L4r*L5r + 1024*mp2^3*L4r*L6r + 768*mp2^3*L4r*L8r - 256*mp2^3*L4r^2 + 768*mp2^3*L5r*L6r + 512*mp2^3*L5r*L8r - 128*mp2^3*L5r^2 - 1536*mp2^3*L6r*L8r - 1024*mp2^3*L6r^2 - 512*mp2^3*L8r^2 ; MM6pol = + pi16*abme2 * ( + 1/36*mp2*ss - 1/9*mp2^2 ) + pi16*abmp2 * ( + 8/9*mp2*mk2 - 89/36*mp2*ss + 29/18*mp2^2 - 2/3*mk2*ss + 5/24*ss^2 - 1/72*tmu^2 ) + pi16*abmk2 * ( + 4/9*mp2*mk2 - 37/36*mp2*ss + 3/4*mp2^2 - 1/3*mk2*ss + 1/24*ss^2 + 1/72*tmu^2 ) + pi16^2 * ( - 83/216*mp2*mk2*pi^2*ss - 1375/432*mp2*mk2*ss - 2/9*mp2*mk2^2 + 13/32*mp2*pi^2*ss^2 - 19/288*mp2*pi^2*tmu^2 + 1751/432*mp2*ss^2 - 289/432*mp2*tmu^2 + 103/648*mp2^2*mk2*pi^2 + 167/432*mp2^2*mk2 - 337/216*mp2^2*pi^2*ss - 10933/864*mp2^2*ss + 349/324*mp2^3*pi^2 + 6013/864*mp2^3 + 1/8*mk2*pi^2*ss^2 - 1/144*mk2*pi^2*tmu^2 + 13/12*mk2*ss^2 - 7/72*mk2*tmu^2 + 1/6*mk2^2*ss - 1/96*ss*tmu^2 - 11/96*ss^3 ) + abme2^2 * ( + 1/12*mp2*me2^-1*ss - 2/9*mp2^2*me2^-1 ) + abmp2*abmk2 * ( - 8/9*mp2 + 2/3*ss ) + abmp2^2 * ( + 39/16*mp2^-1*ss^2 - 19/48*mp2^-1*tmu^2 + 11/2*mp2 - 26/3*ss ) + abmk2^2 * ( - 29/12*mp2*mk2^-1*ss - 2/9*mp2 + 5/4*mp2^2*mk2^-1 + 3/4*mk2^-1*ss^2 - 1/24*mk2^-1*tmu^2 + 1/6*ss ); MMHHpol = + hhd(mp2,mp2,mp2,mp2,xmu2) * ( + 5/2*mp2^2*ss - 5/2*mp2^3 ) + hhd(mp2,mk2,mk2,mp2,xmu2) * ( - 15/8*mp2^2*ss + 15/8*mp2^3 ) + hhd(mp2,me2,me2,mp2,xmu2) * ( + 1/6*mp2^2*ss - 1/6*mp2^3 ) + hhd(mk2,mp2,mk2,mp2,xmu2) * ( + 3*mp2*mk2*ss - 3*mp2^2*mk2 ) + hhd(mk2,mk2,me2,mp2,xmu2) * ( - 5/2*mp2^2*ss + 5/2*mp2^3 ) + hhd(me2,mk2,mk2,mp2,xmu2) * ( + 3/2*mp2*mk2*ss - 3/2*mp2^2*mk2 + 13/8*mp2^2*ss - 13/8*mp2^3 ) + hh1d(mp2,mk2,mk2,mp2,xmu2) * ( + 3*mp2^2*ss - 3*mp2^3 ) + hh1d(mk2,mk2,me2,mp2,xmu2) * ( + 2*mp2^2*ss - 2*mp2^3 ) + hh1d(me2,mk2,mk2,mp2,xmu2) * ( - 2*mp2^2*ss + 2*mp2^3 ) + hh21d(mp2,mp2,mp2,mp2,xmu2) * ( + 9*mp2^2*ss - 9*mp2^3 ) + hh21d(mp2,mk2,mk2,mp2,xmu2) * ( - 9/8*mp2^2*ss + 9/8*mp2^3 ) + hh21d(mk2,mp2,mk2,mp2,xmu2) * ( + 9*mp2^2*ss - 9*mp2^3 ) + hh21d(me2,mk2,mk2,mp2,xmu2) * ( + 27/8*mp2^2*ss - 27/8*mp2^3 ) + zhh(mp2,mp2,mp2,mp2,xmu2) * ( + 4*mp2*ss - 17/6*mp2^2 - ss^2 + 1/3*tmu^2 ) + zhh(mp2,mk2,mk2,mp2,xmu2) * ( - 133/36*mp2*ss + 10/3*mp2^2 - 5/16*ss^2 + 7/16*tmu^2 ) + zhh(mp2,me2,me2,mp2,xmu2) * ( + 1/18*mp2^2 ) + zhh(mk2,mp2,mk2,mp2,xmu2) * ( - 1/12*mp2*mk2 + 53/18*mp2*ss - 4/3*mp2^2 + 13/72*mk2*ss - 1/4*ss^2 - 1/4*tmu^2 ) + zhh(mk2,mk2,mp2,mp2,xmu2) * ( + 1/12*mp2*mk2 - 13/72*mk2*ss ) + zhh(mk2,mk2,me2,mp2,xmu2) * ( - 7/18*mp2^2 + 3/16*ss^2 - 3/16*tmu^2 ) + zhh(me2,mk2,mk2,mp2,xmu2) * ( - 11/8*mp2*ss + 119/36*mp2^2 - 45/64*ss^2 + 27/64*tmu^2 ) + zhh1(mp2,mk2,mk2,mp2,xmu2) * ( + 7/4*mp2*ss - 3/2*mp2^2 - 3/16*ss^2 + 1/16*tmu^2 ) + zhh1(me2,mk2,mk2,mp2,xmu2) * ( + 11/8*mp2*ss - 15/4*mp2^2 + 45/64*ss^2 - 27/64*tmu^2 ) + zhh21(mp2,mp2,mp2,mp2,xmu2) * ( + 5*mp2*ss - mp2^2 - 3/2*ss^2 + 1/2*tmu^2 ) + zhh21(mp2,mk2,mk2,mp2,xmu2) * ( - 13/8*mp2*ss + 1/8*mp2^2 + 15/16*ss^2 - 5/16*tmu^2 ) + zhh21(mk2,mp2,mk2,mp2,xmu2) * ( + 253/24*mp2*ss - 45/4*mp2^2 + 3/8*ss^2 - 1/8*tmu^2 ) + zhh21(mk2,mk2,mp2,mp2,xmu2) * ( - 37/24*mp2*ss + 17/4*mp2^2 - 3/2*ss^2 + 1/2*tmu^2 ) + zhh21(mk2,mk2,me2,mp2,xmu2) * ( + 3/2*mp2*ss - 9/2*mp2^2 + 45/32*ss^2 - 15/32*tmu^2 ) + zhh21(me2,mk2,mk2,mp2,xmu2) * ( + 21/8*mp2*ss - 3/8*mp2^2 - 9/8*ss^2 + 3/8*tmu^2 ); MMLLU0 = + b0int(mp2,mp2,ss,xmu2) * ( - 728/3*mp2*L1r*ss^2 - 376/3*mp2*L2r*ss^2 - 364/3*mp2*L3r*ss^2 + 64*mp2*L4r*ss^2 + 32*mp2*L5r*ss^2 + 1024/3*mp2^2*L1r*ss + 608/3*mp2^2*L2r*ss + 512/3*mp2^2*L3r*ss - 224*mp2^2*L4r*ss - 112*mp2^2*L5r*ss + 320*mp2^2*L6r*ss + 160*mp2^2*L8r*ss - 352/3*mp2^3*L1r - 224/3*mp2^3*L2r - 176/3*mp2^3*L3r + 96*mp2^3*L4r + 48*mp2^3*L5r - 160*mp2^3*L6r - 80*mp2^3*L8r + 176/3*L1r*ss^3 + 112/3*L2r*ss^3 + 88/3*L3r*ss^3 ) + b0int(mk2,mk2,ss,xmu2) * ( + 96*mp2*mk2*L1r*ss + 32*mp2*mk2*L2r*ss + 32*mp2*mk2*L3r*ss - 96*mp2*mk2*L4r*ss - 24*mp2*mk2*L5r*ss + 96*mp2*mk2*L6r*ss + 48*mp2*mk2*L8r*ss - 48*mp2*L1r*ss^2 - 8*mp2*L2r*ss^2 - 14*mp2*L3r*ss^2 + 24*mp2*L4r*ss^2 + 6*mp2*L5r*ss^2 - 48*mk2*L1r*ss^2 - 8*mk2*L2r*ss^2 - 14*mk2*L3r*ss^2 + 24*mk2*L4r*ss^2 + 24*L1r*ss^3 + 8*L2r*ss^3 + 8*L3r*ss^3 ) + b0int(me2,me2,ss,xmu2) * ( - 64/3*mp2*mk2*L1r*ss - 32/9*mp2*mk2*L2r*ss - 128/27*mp2*mk2*L3r*ss + 32/3*mp2*mk2*L4r*ss + 8*mp2*L1r*ss^2 + 8/3*mp2*L2r*ss^2 + 20/9*mp2*L3r*ss^2 + 128/3*mp2^2*mk2*L1r + 128/9*mp2^2*mk2*L2r + 320/27*mp2^2*mk2*L3r - 128/3*mp2^2*mk2*L4r - 64/9*mp2^2*mk2*L5r + 128/3*mp2^2*mk2*L6r - 128/3*mp2^2*mk2*L7r - 32/3*mp2^2*L1r*ss - 16/9*mp2^2*L2r*ss - 64/27*mp2^2*L3r*ss + 16/3*mp2^2*L4r*ss - 32/3*mp2^3*L1r - 32/9*mp2^3*L2r - 80/27*mp2^3*L3r + 32/3*mp2^3*L4r + 16/9*mp2^3*L5r - 32/3*mp2^3*L6r + 128/3*mp2^3*L7r + 16*mp2^3*L8r ); MM6U0 = + b0int(mp2,mp2,ss,xmu2)*pi16 * ( + 85/24*mp2*ss^2 - 25/3*mp2^2*ss + 10/3*mp2^3 - 5/12*ss^3 ) + b0int(mp2,mp2,ss,xmu2)^2 * ( - 3*mp2*ss^2 + 3/2*mp2^2*ss - 1/4*mp2^3 + 2*ss^3 ) + b0int(mp2,mp2,ss,xmu2)*b0int(mk2,mk2,ss,xmu2) * ( - 3/8*mp2*ss^2 + 3/4*ss^3 ) + b0int(mp2,mp2,ss,xmu2)*b0int(me2,me2,ss,xmu2) * ( + 1/3*mp2^2*ss - 1/6*mp2^3 ) + b0int(mp2,mp2,ss,xmu2) * ( - 20*mp2*ss*abmp2 - 10*mp2*ss*abmk2 + 8*mp2^2*abmp2 + 4*mp2^2*abmk2 + 8*ss^2*abmp2 + 4*ss^2*abmk2 ) + b0int(mk2,mk2,ss,xmu2)*pi16 * ( - 2*mp2*mk2*ss + 1/2*mp2*ss^2 + 1/2*mk2*ss^2 - 1/8*ss^3 ) + b0int(mk2,mk2,ss,xmu2)^2 * ( + 9/32*ss^3 ) + b0int(mk2,mk2,ss,xmu2)*b0int(me2,me2,ss,xmu2) * ( - 1/3*mp2*mk2*ss + 3/8*mp2*ss^2 ) + b0int(mk2,mk2,ss,xmu2) * ( - 3/4*mp2*abme2*ss - 9/4*mp2*ss*abmp2 - 3/2*mp2*ss*abmk2 + 3/2*ss^2*abmp2 + 3/4*ss^2*abmk2 ) + b0int(me2,me2,ss,xmu2)*pi16 * ( + 2/9*mp2*mk2*ss - 1/24*mp2*ss^2 - 8/9*mp2^2*mk2 + 1/9*mp2^2*ss + 2/9*mp2^3 ) + b0int(me2,me2,ss,xmu2)^2 * ( + 4/27*mp2^2*mk2 - 7/108*mp2^3 ) + b0int(me2,me2,ss,xmu2) * ( + 2/3*mp2^2*abmp2 - 2/3*mp2^2*abmk2 ) + b0eps(mp2,mp2,ss,xmu2)*pi16 * ( - 10*mp2*mk2*ss + 59/4*mp2*ss^2 + 4*mp2^2*mk2 - 335/9*mp2^2*ss + 136/9*mp2^3 + 4*mk2*ss^2 - 3/2*ss^3 ) + b0eps(mk2,mk2,ss,xmu2)*pi16 * ( - 6*mp2*mk2*ss + 15/8*mp2*ss^2 - 2*mp2^2*ss + 9/4*mk2*ss^2 - 9/16*ss^3 ) + b0eps(me2,me2,ss,xmu2)*pi16 * ( + 1/3*mp2*mk2*ss - 1/4*mp2*ss^2 - 4/3*mp2^2*mk2 + 2/3*mp2^2*ss - 2/9*mp2^3 ); MMVVU0 = + VV(0,mp2,mp2,mp2,mp2,mp2,ss,mp2,xmu2) * ( + 4*mp2*ss^2 - 4*mp2^2*ss + mp2^3 ) + VV(0,mp2,mp2,mk2,mk2,mp2,ss,mp2,xmu2) * ( + 1/2*mp2*ss^2 - 9/4*mp2^2*ss + mp2^3 ) + VV(0,mp2,mp2,me2,me2,mp2,ss,mp2,xmu2) * ( + 2/9*mp2^2*ss - 1/9*mp2^3 ) + VV(0,mk2,mk2,mp2,mk2,mp2,ss,mp2,xmu2) * ( + 9/2*mp2^2*ss ) + VV(0,mk2,mk2,mk2,me2,mp2,ss,mp2,xmu2) * ( - 3/8*mp2*ss^2 + 2*mp2^2*ss ) + VV(0,me2,me2,mp2,me2,mp2,ss,mp2,xmu2) * ( + 2/9*mp2^3 ) + VV(0,me2,me2,mk2,mk2,mp2,ss,mp2,xmu2) * ( + 1/4*mp2^2*ss + 1/3*mp2^3 ) + VV(11,mp2,mp2,mk2,mk2,mp2,ss,mp2,xmu2) * ( - mp2*ss^2 + 9/2*mp2^2*ss - 2*mp2^3 ) + VV(11,mk2,mk2,mp2,mk2,mp2,ss,mp2,xmu2) * ( + 3*mp2*ss^2 - 12*mp2^2*ss ) + VV(11,mk2,mk2,mk2,me2,mp2,ss,mp2,xmu2) * ( + 3/2*mp2*ss^2 - 6*mp2^2*ss ) + VV(11,me2,me2,mk2,mk2,mp2,ss,mp2,xmu2) * ( + 1/2*mp2^2*ss - 2*mp2^3 ) + VV(13,mk2,mk2,mp2,mk2,mp2,ss,mp2,xmu2) * ( + 21/4*mp2*ss^2 - 9*mp2^2*ss - 3/4*ss^3 ) + VV(13,mk2,mk2,mk2,me2,mp2,ss,mp2,xmu2) * ( + 15/4*mp2*ss^2 - 6*mp2^2*ss - 9/16*ss^3 ) + VV(14,mk2,mk2,mp2,mk2,mp2,ss,mp2,xmu2) * ( + 6*mp2*ss^2 - 3/2*ss^3 ) + VV(14,mk2,mk2,mk2,me2,mp2,ss,mp2,xmu2) * ( + 9/2*mp2*ss^2 - 9/8*ss^3 ) + VV(22,mp2,mp2,mp2,mp2,mp2,ss,mp2,xmu2) * ( - 4*mp2*ss^2 + 18*mp2^2*ss - 8*mp2^3 ) + VV(22,mp2,mp2,mk2,mk2,mp2,ss,mp2,xmu2) * ( + 1/2*mp2*ss^2 - 9/4*mp2^2*ss + mp2^3 ) + VV(22,mk2,mk2,mp2,mk2,mp2,ss,mp2,xmu2) * ( - 3*mp2*ss^2 + 12*mp2^2*ss ) + VV(22,mk2,mk2,mk2,me2,mp2,ss,mp2,xmu2) * ( - 9/8*mp2*ss^2 + 9/2*mp2^2*ss ) + VV(22,me2,me2,mk2,mk2,mp2,ss,mp2,xmu2) * ( - 3/4*mp2^2*ss + 3*mp2^3 ) + VV(23,mp2,mp2,mp2,mp2,mp2,ss,mp2,xmu2) * ( - 18*mp2*ss^2 + 8*mp2^2*ss + 4*ss^3 ) + VV(23,mp2,mp2,mk2,mk2,mp2,ss,mp2,xmu2) * ( + 9/4*mp2*ss^2 - mp2^2*ss - 1/2*ss^3 ) + VV(23,mk2,mk2,mp2,mk2,mp2,ss,mp2,xmu2) * ( - 12*mp2*ss^2 + 3*ss^3 ) + VV(23,mk2,mk2,mk2,me2,mp2,ss,mp2,xmu2) * ( - 9/2*mp2*ss^2 + 9/8*ss^3 ) + VV(23,me2,me2,mk2,mk2,mp2,ss,mp2,xmu2) * ( + 3/4*mp2*ss^2 - 3*mp2^2*ss ) + VV(26,mk2,mk2,mp2,mk2,mp2,ss,mp2,xmu2) * ( - 6*mp2*ss^2 + 12*mp2^2*ss + 3/4*ss^3 ) + VV(26,mk2,mk2,mk2,me2,mp2,ss,mp2,xmu2) * ( - 9/2*mp2*ss^2 + 9*mp2^2*ss + 9/16*ss^3 ) + VV(27,mk2,mk2,mp2,mk2,mp2,ss,mp2,xmu2) * ( - 12*mp2*ss^2 + 3*ss^3 ) + VV(27,mk2,mk2,mk2,me2,mp2,ss,mp2,xmu2) * ( - 9*mp2*ss^2 + 9/4*ss^3 ) + VV(29,mk2,mk2,mp2,mk2,mp2,ss,mp2,xmu2) * ( - 6*mp2*ss^2 + 3/2*ss^3 ) + VV(29,mk2,mk2,mk2,me2,mp2,ss,mp2,xmu2) * ( - 9/2*mp2*ss^2 + 9/8*ss^3 ) + VV(210,mp2,mp2,mp2,mp2,mp2,ss,mp2,xmu2) * ( + 40*mp2*ss - 16*mp2^2 - 16*ss^2 ) + VV(210,mp2,mp2,mk2,mk2,mp2,ss,mp2,xmu2) * ( + 20*mp2*ss - 8*mp2^2 - 8*ss^2 ) + VV(210,mk2,mk2,mp2,mk2,mp2,ss,mp2,xmu2) * ( + 9/2*mp2*ss - 9/4*ss^2 ) + VV(210,mk2,mk2,mk2,me2,mp2,ss,mp2,xmu2) * ( + 9/2*mp2*ss - 9/4*ss^2 ) + VV(211,mp2,mp2,mp2,mp2,mp2,ss,mp2,xmu2) * ( - 16*mp2*ss^2 + 40*mp2^2*ss - 16*mp2^3 ) + VV(211,mp2,mp2,mk2,mk2,mp2,ss,mp2,xmu2) * ( - 8*mp2*ss^2 + 20*mp2^2*ss - 8*mp2^3 ) + VV(211,mk2,mk2,mp2,mk2,mp2,ss,mp2,xmu2) * ( - 9/4*mp2*ss^2 + 9/2*mp2^2*ss ) + VV(211,mk2,mk2,mk2,me2,mp2,ss,mp2,xmu2) * ( - 9/4*mp2*ss^2 + 9/2*mp2^2*ss ) + VV(212,mp2,mp2,mp2,mp2,mp2,ss,mp2,xmu2) * ( + 4*mp2*ss^2 - 8*ss^3 ) + VV(212,mp2,mp2,mk2,mk2,mp2,ss,mp2,xmu2) * ( + 2*mp2*ss^2 - 4*ss^3 ) + VV(212,mk2,mk2,mp2,mk2,mp2,ss,mp2,xmu2) * ( - 9/8*ss^3 ) + VV(212,mk2,mk2,mk2,me2,mp2,ss,mp2,xmu2) * ( - 9/8*ss^3 ) + VV(213,mp2,mp2,mp2,mp2,mp2,ss,mp2,xmu2) * ( + 4*mp2*ss^2 - 8*ss^3 ) + VV(213,mp2,mp2,mk2,mk2,mp2,ss,mp2,xmu2) * ( + 2*mp2*ss^2 - 4*ss^3 ) + VV(213,mk2,mk2,mp2,mk2,mp2,ss,mp2,xmu2) * ( - 9/8*ss^3 ) + VV(213,mk2,mk2,mk2,me2,mp2,ss,mp2,xmu2) * ( - 9/8*ss^3 ); MMLLU1 = + b0int(mp2,mp2,tt,xmu2) * ( + 32/9*mp2*L1r*tt - 16/9*mp2*L2r*tt + 16/9*mp2*L3r*tt + 16/9*mp2*L4r*tt + 8/9*mp2*L5r*tt - 64/9*mp2^2*L4r - 32/9*mp2^2*L5r - 8/9*L1r*tt^2 + 4/9*L2r*tt^2 - 4/9*L3r*tt^2 ) + b0int(mk2,mk2,tt,xmu2) * ( - 16/9*mp2*mk2*L5r + 4/9*mp2*L5r*tt + 8/9*mk2*L3r*tt - 2/9*L3r*tt^2 ); MM6U1 = + b0int(mp2,mp2,tt,xmu2)*pi16 * ( + 4/27*mp2*mk2 - 11/27*mp2*tt + 28/27*mp2^2 - 1/27*mk2*tt + 1/27*tt^2 ) + b0int(mp2,mp2,tt,xmu2)^2 * ( - 2/27*mp2*tt + 4/27*mp2^2 + 1/108*tt^2 ) + b0int(mp2,mp2,tt,xmu2)*b0int(mk2,mk2,tt,xmu2) * ( + 4/27*mp2*mk2 - 1/27*mp2*tt - 1/27*mk2*tt + 1/108*tt^2 ) + b0int(mp2,mp2,tt,xmu2) * ( - 8/27*mp2*abmp2 - 4/27*mp2*abmk2 + 2/27*tt*abmp2 + 1/27*tt*abmk2 ) + b0int(mk2,mk2,tt,xmu2)*pi16 * ( + 10/27*mp2*mk2 - 5/54*mp2*tt - 5/54*mk2*tt + 2/27*mk2^2 + 1/54*tt^2 ) + b0int(mk2,mk2,tt,xmu2)^2 * ( - 1/54*mk2*tt + 1/27*mk2^2 + 1/432*tt^2 ) + b0int(mk2,mk2,tt,xmu2) * ( - 4/27*mk2*abmp2 - 2/27*mk2*abmk2 + 1/27*tt*abmp2 + 1/54*tt*abmk2 ) + b0eps(mp2,mp2,tt,xmu2)*pi16 * ( - 7/18*mp2*tt + 10/9*mp2^2 + 1/36*tt^2 ) + b0eps(mk2,mk2,tt,xmu2)*pi16 * ( + 1/3*mp2*mk2 - 1/12*mp2*tt - 1/18*mk2*tt + 1/72*tt^2 ); MMVVU1 = + VV(0,mp2,mp2,mp2,mp2,mp2,tt,mp2,xmu2) * ( - 1/3*mp2*tt ) + VV(0,mk2,mk2,mp2,mk2,mp2,tt,mp2,xmu2) * ( - 2/3*mp2*tt + 1/6*tt^2 ) + VV(0,mk2,mk2,mk2,me2,mp2,tt,mp2,xmu2) * ( - 1/3*mp2*tt + 1/8*tt^2 ) + VV(11,mp2,mp2,mp2,mp2,mp2,tt,mp2,xmu2) * ( + 1/3*mp2*tt + 1/3*mp2^2 ) + VV(11,mp2,mp2,me2,me2,mp2,tt,mp2,xmu2) * ( + 1/27*mp2^2 ) + VV(11,mk2,mk2,mp2,mk2,mp2,tt,mp2,xmu2) * ( + 2/3*mp2*tt + mp2^2 - 1/4*tt^2 ) + VV(11,mk2,mk2,mk2,me2,mp2,tt,mp2,xmu2) * ( + 1/3*mp2*tt + 4/9*mp2^2 - 3/16*tt^2 ) + VV(13,mk2,mk2,mp2,mk2,mp2,tt,mp2,xmu2) * ( + 2/3*mp2*tt - 1/6*tt^2 ) + VV(13,mk2,mk2,mk2,me2,mp2,tt,mp2,xmu2) * ( + 1/2*mp2*tt - 1/8*tt^2 ) + VV(14,mk2,mk2,mp2,mk2,mp2,tt,mp2,xmu2) * ( - mp2*tt + 1/3*tt^2 ) + VV(14,mk2,mk2,mk2,me2,mp2,tt,mp2,xmu2) * ( - 2/3*mp2*tt + 1/4*tt^2 ) + VV(22,mp2,mp2,mp2,mp2,mp2,tt,mp2,xmu2) * ( - 4/3*mp2^2 ) + VV(22,mk2,mk2,mp2,mk2,mp2,tt,mp2,xmu2) * ( + 2/3*mp2*tt - 8/3*mp2^2 ) + VV(22,mk2,mk2,mk2,me2,mp2,tt,mp2,xmu2) * ( + 1/2*mp2*tt - 4/3*mp2^2 ) + VV(23,mp2,mp2,mp2,mp2,mp2,tt,mp2,xmu2) * ( + 4/3*mp2*tt ) + VV(23,mk2,mk2,mp2,mk2,mp2,tt,mp2,xmu2) * ( + 8/3*mp2*tt - 2/3*tt^2 ) + VV(23,mk2,mk2,mk2,me2,mp2,tt,mp2,xmu2) * ( + 4/3*mp2*tt - 1/2*tt^2 ) + VV(26,mk2,mk2,mp2,mk2,mp2,tt,mp2,xmu2) * ( - 1/6*mp2*tt - 2*mp2^2 + 1/6*tt^2 ) + VV(26,mk2,mk2,mk2,me2,mp2,tt,mp2,xmu2) * ( - 1/6*mp2*tt - 4/3*mp2^2 + 1/8*tt^2 ) + VV(27,mk2,mk2,mp2,mk2,mp2,tt,mp2,xmu2) * ( + 2*mp2*tt - 2/3*tt^2 ) + VV(27,mk2,mk2,mk2,me2,mp2,tt,mp2,xmu2) * ( + 4/3*mp2*tt - 1/2*tt^2 ) + VV(29,mk2,mk2,mp2,mk2,mp2,tt,mp2,xmu2) * ( + 11/3*mp2*tt - tt^2 ) + VV(29,mk2,mk2,mk2,me2,mp2,tt,mp2,xmu2) * ( + 8/3*mp2*tt - 3/4*tt^2 ) + VV(31,mk2,mk2,mp2,mk2,mp2,tt,mp2,xmu2) * ( + 4*mp2 - tt ) + VV(31,mk2,mk2,mk2,me2,mp2,tt,mp2,xmu2) * ( + 3*mp2 - 3/4*tt ) + VV(33,mk2,mk2,mp2,mk2,mp2,tt,mp2,xmu2) * ( - 2/3*mp2*tt + 4/3*mp2^2 + 1/12*tt^2 ) + VV(33,mk2,mk2,mk2,me2,mp2,tt,mp2,xmu2) * ( - 1/2*mp2*tt + mp2^2 + 1/16*tt^2 ) + VV(213,mp2,mp2,mp2,mp2,mp2,tt,mp2,xmu2) * ( + 8/3*mp2*tt - 2/3*tt^2 ) + VV(213,mp2,mp2,mk2,mk2,mp2,tt,mp2,xmu2) * ( + 4/3*mp2*tt - 1/3*tt^2 ) + VV(213,mk2,mk2,mp2,mk2,mp2,tt,mp2,xmu2) * ( + mp2*tt - 1/4*tt^2 ) + VV(213,mk2,mk2,mk2,me2,mp2,tt,mp2,xmu2) * ( + mp2*tt - 1/4*tt^2 ) + VV(311,mk2,mk2,mp2,mk2,mp2,tt,mp2,xmu2) * ( - 2/3*mp2*tt + 8/3*mp2^2 ) + VV(311,mk2,mk2,mk2,me2,mp2,tt,mp2,xmu2) * ( - 1/2*mp2*tt + 2*mp2^2 ) + VV(313,mk2,mk2,mp2,mk2,mp2,tt,mp2,xmu2) * ( - 8/3*mp2*tt + 2/3*tt^2 ) + VV(313,mk2,mk2,mk2,me2,mp2,tt,mp2,xmu2) * ( - 2*mp2*tt + 1/2*tt^2 ) + VV(314,mk2,mk2,mp2,mk2,mp2,tt,mp2,xmu2) * ( - 8/3*mp2*tt + 2/3*tt^2 ) + VV(314,mk2,mk2,mk2,me2,mp2,tt,mp2,xmu2) * ( - 2*mp2*tt + 1/2*tt^2 ) + VV(316,mk2,mk2,mp2,mk2,mp2,tt,mp2,xmu2) * ( - 16/3*mp2*tt + 4/3*tt^2 ) + VV(316,mk2,mk2,mk2,me2,mp2,tt,mp2,xmu2) * ( - 4*mp2*tt + tt^2 ) + VV(317,mp2,mp2,mp2,mp2,mp2,tt,mp2,xmu2) * ( + 8/3*mp2 - 4/3*tt ) + VV(317,mp2,mp2,mk2,mk2,mp2,tt,mp2,xmu2) * ( + 4/3*mp2 - 2/3*tt ) + VV(317,mk2,mk2,mp2,mk2,mp2,tt,mp2,xmu2) * ( + mp2 - 1/2*tt ) + VV(317,mk2,mk2,mk2,me2,mp2,tt,mp2,xmu2) * ( + mp2 - 1/2*tt ) + VV(321,mp2,mp2,mp2,mp2,mp2,tt,mp2,xmu2) * ( - 4/3*mp2*tt + 8/3*mp2^2 ) + VV(321,mp2,mp2,mk2,mk2,mp2,tt,mp2,xmu2) * ( - 2/3*mp2*tt + 4/3*mp2^2 ) + VV(321,mk2,mk2,mp2,mk2,mp2,tt,mp2,xmu2) * ( - 1/2*mp2*tt + mp2^2 ) + VV(321,mk2,mk2,mk2,me2,mp2,tt,mp2,xmu2) * ( - 1/2*mp2*tt + mp2^2 ) + VV(323,mp2,mp2,mp2,mp2,mp2,tt,mp2,xmu2) * ( - 2/3*tt^2 ) + VV(323,mp2,mp2,mk2,mk2,mp2,tt,mp2,xmu2) * ( - 1/3*tt^2 ) + VV(323,mk2,mk2,mp2,mk2,mp2,tt,mp2,xmu2) * ( - 1/4*tt^2 ) + VV(323,mk2,mk2,mk2,me2,mp2,tt,mp2,xmu2) * ( - 1/4*tt^2 ) + VV(325,mp2,mp2,mp2,mp2,mp2,tt,mp2,xmu2) * ( - 8/3*mp2*tt ) + VV(325,mp2,mp2,mk2,mk2,mp2,tt,mp2,xmu2) * ( - 4/3*mp2*tt ) + VV(325,mk2,mk2,mp2,mk2,mp2,tt,mp2,xmu2) * ( - mp2*tt ) + VV(325,mk2,mk2,mk2,me2,mp2,tt,mp2,xmu2) * ( - mp2*tt ) + VV(326,mp2,mp2,mp2,mp2,mp2,tt,mp2,xmu2) * ( - 16/3*mp2*tt + 4/3*tt^2 ) + VV(326,mp2,mp2,mk2,mk2,mp2,tt,mp2,xmu2) * ( - 8/3*mp2*tt + 2/3*tt^2 ) + VV(326,mk2,mk2,mp2,mk2,mp2,tt,mp2,xmu2) * ( - 2*mp2*tt + 1/2*tt^2 ) + VV(326,mk2,mk2,mk2,me2,mp2,tt,mp2,xmu2) * ( - 2*mp2*tt + 1/2*tt^2 ); MMLLU2 = + b0int(mp2,mp2,tt,xmu2) * ( + 64/3*mp2*L1r*tt^2 + 176/3*mp2*L2r*tt^2 + 32/3*mp2*L3r*tt^2 + 16*mp2*L4r*tt^2 + 8*mp2*L5r*tt^2 - 128/3*mp2^2*L1r*tt - 352/3*mp2^2*L2r*tt - 64/3*mp2^2*L3r*tt - 32*mp2^2*L4r*tt - 16*mp2^2*L5r*tt - 64*mp2^2*L6r*tt - 32*mp2^2*L8r*tt + 128/3*mp2^3*L1r + 256/3*mp2^3*L2r + 64/3*mp2^3*L3r + 128*mp2^3*L6r + 64*mp2^3*L8r - 16/3*L1r*tt^3 - 32/3*L2r*tt^3 - 8/3*L3r*tt^3 ); MM6U2 = + b0int(mp2,mp2,tt,xmu2)*pi16 * ( - 5/6*mp2*tt^2 + 8/3*mp2^2*tt - 8/3*mp2^3 + 1/12*tt^3 ) + b0int(mp2,mp2,tt,xmu2)^2 * ( + 3/2*mp2*tt^2 - 3*mp2^2*tt + 2*mp2^3 - 1/4*tt^3 ) + b0int(mp2,mp2,tt,xmu2) * ( - 8*mp2*tt*abmp2 - 4*mp2*tt*abmk2 + 8*mp2^2*abmp2 + 4*mp2^2*abmk2 + 2*tt^2*abmp2 + tt^2*abmk2 ) + b0eps(mp2,mp2,tt,xmu2)*pi16 * ( - 4*mp2*mk2*tt - 4*mp2*tt^2 + 4*mp2^2*mk2 + 73/9*mp2^2*tt - 56/9*mp2^3 + mk2*tt^2 + 3/4*tt^3 ); MMVVU2 = + VV(0,mp2,mp2,mp2,mp2,mp2,tt,mp2,xmu2) * ( + mp2*tt^2 - 7*mp2^2*tt + 10*mp2^3 ) + VV(0,mp2,mp2,mk2,mk2,mp2,tt,mp2,xmu2) * ( + 1/2*mp2*tt^2 - 3*mp2^2*tt + 4*mp2^3 ) + VV(0,mp2,mp2,me2,me2,mp2,tt,mp2,xmu2) * ( - 1/9*mp2^2*tt + 2/9*mp2^3 ) + VV(11,mp2,mp2,mp2,mp2,mp2,tt,mp2,xmu2) * ( - 3*mp2*tt^2 + 18*mp2^2*tt - 24*mp2^3 ) + VV(11,mp2,mp2,mk2,mk2,mp2,tt,mp2,xmu2) * ( - mp2*tt^2 + 6*mp2^2*tt - 8*mp2^3 ) + VV(22,mp2,mp2,mp2,mp2,mp2,tt,mp2,xmu2) * ( + 2*mp2*tt^2 - 12*mp2^2*tt + 16*mp2^3 ) + VV(22,mp2,mp2,mk2,mk2,mp2,tt,mp2,xmu2) * ( + 1/2*mp2*tt^2 - 3*mp2^2*tt + 4*mp2^3 ) + VV(23,mp2,mp2,mp2,mp2,mp2,tt,mp2,xmu2) * ( + 12*mp2*tt^2 - 16*mp2^2*tt - 2*tt^3 ) + VV(23,mp2,mp2,mk2,mk2,mp2,tt,mp2,xmu2) * ( + 3*mp2*tt^2 - 4*mp2^2*tt - 1/2*tt^3 ) + VV(210,mp2,mp2,mp2,mp2,mp2,tt,mp2,xmu2) * ( + 16*mp2*tt - 16*mp2^2 - 4*tt^2 ) + VV(210,mp2,mp2,mk2,mk2,mp2,tt,mp2,xmu2) * ( + 8*mp2*tt - 8*mp2^2 - 2*tt^2 ) + VV(211,mp2,mp2,mp2,mp2,mp2,tt,mp2,xmu2) * ( - 4*mp2*tt^2 + 16*mp2^2*tt - 16*mp2^3 ) + VV(211,mp2,mp2,mk2,mk2,mp2,tt,mp2,xmu2) * ( - 2*mp2*tt^2 + 8*mp2^2*tt - 8*mp2^3 ) + VV(212,mp2,mp2,mp2,mp2,mp2,tt,mp2,xmu2) * ( + 4*mp2*tt^2 - 2*tt^3 ) + VV(212,mp2,mp2,mk2,mk2,mp2,tt,mp2,xmu2) * ( + 2*mp2*tt^2 - tt^3 ) + VV(213,mp2,mp2,mp2,mp2,mp2,tt,mp2,xmu2) * ( + 4*mp2*tt^2 - 2*tt^3 ) + VV(213,mp2,mp2,mk2,mk2,mp2,tt,mp2,xmu2) * ( + 2*mp2*tt^2 - tt^3 );